Given that the quadratic equation x^2 + 7x + 13 = 0 has roots a and b, find the value of a+b and ab.

Remember that for a general quadratic equation Ax^2 + Bx + C = 0, the sum of the roots = -B/A and the product of the roots = C/A.In our question, A = 1, B = 7, C = 13.So a + b = -7/1 = -7 and ab = 13/1 = 13

NT
Answered by Nathan T. Further Mathematics tutor

2970 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Give the general solution of the second order ODE dy2/d2x - 4dy/dx + 3 = 0


The plane Π contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). What is the vector equation of the plane? and what is the cartesian equation of the plane?


Find the general solution of the second order differential equation y''(t)+y(t) = 5exp(2t)


A particle is launched from the top of a cliff of height 87.5m at time t=0 with initial velocity 14m/s at 30 deg above the horizontal, Calculate: a) maximum height reached above bottom of cliff; b)horizontal distance travelled before hitting the ground.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning